Actuarial Notes

CAS Exam 7 Spring 2012, Question 7

Study guide: Exam 7

For a set of retrospectively rated workers compensation policies, the following factors apply:

  • Basic premium factor: 0.20
  • Loss conversion factor: 1.25
  • Tax multiplier: 1.04

There will be three retrospective adjustments, with the following estimated factors:

Retro Adjustment Period % Loss Emerged Loss Capping Ratio
First 75.1% 0.93
Second 19.5% 0.72
Third 5.4% 0.55

Also assume:

  • Total expected unlimited loss for these policies is $205,000,000.
  • The expected loss ratio is 75%.
  • Total current booked premium is $220,000,000.
  • None of the policies has yet had its first retro adjustment.

Estimate the retrospective premium asset for this set of policies.

Part a (3 points)

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